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Simplifying 5 + 3(2y + -3) = 2(y + -3) Reorder the terms: 5 + 3(-3 + 2y) = 2(y + -3) 5 + (-3 * 3 + 2y * 3) = 2(y + -3) 5 + (-9 + 6y) = 2(y + -3) Combine like terms: 5 + -9 = -4 -4 + 6y = 2(y + -3) Reorder the terms: -4 + 6y = 2(-3 + y) -4 + 6y = (-3 * 2 + y * 2) -4 + 6y = (-6 + 2y) Solving -4 + 6y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -4 + 6y + -2y = -6 + 2y + -2y Combine like terms: 6y + -2y = 4y -4 + 4y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 4y = -6 + 0 -4 + 4y = -6 Add '4' to each side of the equation. -4 + 4 + 4y = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 4y = -6 + 4 4y = -6 + 4 Combine like terms: -6 + 4 = -2 4y = -2 Divide each side by '4'. y = -0.5 Simplifying y = -0.5
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